Explanation
we have a rigth triangle, then
Let
leg1=radius= 7
leg2=QP
hypotenuse= radius+18=25
now, we can use the Pythagorean theorem:
Pythagorean theorem, the geometric theorem that states the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
[tex]a^2+b^2=c^2[/tex]hence, replace
[tex]\begin{gathered} 7^2+QP^2=25^2 \\ 49+QP^2=625 \\ \text{subtract 49 in both sides} \\ 49+QP^2-49=625-49 \\ QP^2=576 \\ \text{square rot in both sides} \\ \sqrt[\square]{QP^2}=\sqrt[\square]{576} \\ QP=24 \end{gathered}[/tex]so, the answer is
[tex]J.24[/tex]I hope this helps you
